A comparison is presented of Sunyaev-Zeldovich measurements for 11 galaxy clusters as
obtained by Planck and by the ground-based interferometer, the Arcminute
Microkelvin Imager. Assuming a universal spherically-symmetric Generalised Navarro, Frenk
and White (GNFW) model for the cluster gas pressure profile, we jointly constrain the
integrated Compton-Y parameter (Y500) and the
scale radius (θ500) of each cluster. Our resulting constraints
in the Y500 − θ500 2D parameter
space derived from the two instruments overlap significantly for eight of the clusters,
although, overall, there is a tendency for AMI to find the Sunyaev-Zeldovich signal to be
smaller in angular size and fainter than Planck. Significant
discrepancies exist for the three remaining clusters in the sample, namely A1413, A1914,
and the newly-discovered Planck cluster PLCKESZ G139.59+24.18. The
robustness of the analysis of both the Planck and AMI data is
demonstrated through the use of detailed simulations, which also discount confusion from
residual point (radio) sources and from diffuse astrophysical foregrounds as possible
explanations for the discrepancies found. For a subset of our cluster sample, we have
investigated the dependence of our results on the assumed pressure profile by repeating
the analysis adopting the best-fitting GNFW profile shape which best matches X-ray
observations. Adopting the best-fitting profile shape from the X-ray data does not, in
general, resolve the discrepancies found in this subset of five clusters. Though based on
a small sample, our results suggest that the adopted GNFW model may not be sufficiently
flexible to describe clusters universally.

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